
"""simple docstring"""






from __future__ import annotations

UpperCAmelCase        =				[]




def __magic_name__	(				_lowerCamelCase:		list[list[int]],					_lowerCamelCase:		int,					_lowerCamelCase:		int			)					->						bool:

	'''simple docstring'''




	for i in range(len(_lowerCamelCase			)			):
		if board[row][i] == 1:
			return False
	for i in range(len(_lowerCamelCase			)			):
		if board[i][column] == 1:
			return False
	for i, j in zip(range(_lowerCamelCase,					-1,					-1			),					range(_lowerCamelCase,					-1,					-1			)			):
		if board[i][j] == 1:
			return False
	for i, j in zip(range(_lowerCamelCase,					-1,					-1			),					range(_lowerCamelCase,					len(_lowerCamelCase			)			)			):
		if board[i][j] == 1:
			return False
	return True




def __magic_name__	(				_lowerCamelCase:		list[list[int]],					_lowerCamelCase:		int			)					->						bool:

	'''simple docstring'''




	if row >= len(_lowerCamelCase			):
		solution.append(_lowerCamelCase			)
		printboard(_lowerCamelCase			)
		print()
		return True
	for i in range(len(_lowerCamelCase			)			):
		if is_safe(_lowerCamelCase,					_lowerCamelCase,					_lowerCamelCase			):
			lowerCAmelCase												=  1
			solve(_lowerCamelCase,					row + 1			)
			lowerCAmelCase												=  0
	return False




def __magic_name__	(				_lowerCamelCase:		list[list[int]]			)					->						None:

	'''simple docstring'''




	for i in range(len(_lowerCamelCase			)			):
		for j in range(len(_lowerCamelCase			)			):
			if board[i][j] == 1:
				print('''Q''',					end=''' '''			)
			else:
				print('''.''',					end=''' '''			)
		print()


# n=int(input("The no. of queens"))
UpperCAmelCase        =				8
UpperCAmelCase        =				[[0 for i in range(n)] for j in range(n)]
solve(board, 0)



print("""The total no. of solutions are :""", len(solution))




"""simple docstring"""






def __magic_name__	(				_lowerCamelCase:		Tuple,					_lowerCamelCase:		Any			)					->						Optional[Any]:

	'''simple docstring'''




	lowerCAmelCase												=  [1]
	for i in range(2,					_lowerCamelCase			):
		factorials.append(factorials[-1] * i			)
	assert 0 <= k < factorials[-1] * n, "k out of bounds"

	lowerCAmelCase												=  []
	lowerCAmelCase												=  list(range(_lowerCamelCase			)			)

	# Find permutation
	while factorials:
		lowerCAmelCase												=  factorials.pop()
		lowerCAmelCase							,       lowerCAmelCase												=  divmod(_lowerCamelCase,					_lowerCamelCase			)
		permutation.append(elements[number]			)
		elements.remove(elements[number]			)
	permutation.append(elements[0]			)

	return permutation


if __name__ == "__main__":
					import doctest

					doctest.testmod()


